Question

How do you graph `y=tan3x`?

Answer 1

See below.

Explanation:

The graph of `y=tan3x` is the graph of `y=tanx` with a horizontal compression by a factor of `1/3`

The period of `tanx` is `pi`, so the period of `tan3x` is:

`1/3*pi=pi/3`

Graphs of `y=tan3x and y=tanx`